121966088567904 has 384 divisors, whose sum is σ = 432364967838720. Its totient is φ = 32653114564608.

The previous prime is 121966088567861. The next prime is 121966088567957. The reversal of 121966088567904 is 409765880669121.

121966088567904 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 6 + 608 + 8 + 5 + 6 + 7 + 9 + 0 + 4 = 666.

121966088567904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20726334 + ... + 25952130.

It is an arithmetic number, because the mean of its divisors is an integer number (1125950437080).

Almost surely, 2^{121966088567904} is an apocalyptic number.

121966088567904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121966088567904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216182483919360).

121966088567904 is an abundant number, since it is smaller than the sum of its proper divisors (310398879270816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121966088567904 is a wasteful number, since it uses less digits than its factorization.

121966088567904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226067 (or 5226053 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 121966088567904 in words is "one hundred twenty-one trillion, nine hundred sixty-six billion, eighty-eight million, five hundred sixty-seven thousand, nine hundred four".